Answer:
x = 79°
Step-by-step explanation:
The arrows on the line segments indicate that the lines are <u>parallel</u>.
As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length. Therefore, we can apply the Alternate Interior Angles Theorem.
<u>Alternate Interior Angles Theorem</u>
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Therefore, the missing angle in the triangle including angle x is 28°.
Interior angles of a triangle sum to 180°
⇒ 73° + 28° + x = 180°
⇒ x = 180° - 73° - 28°
⇒ x = 79°
Sure, here is how I broke it down. The bird is flying a constant X miles per hour with a wind speed of Y miles per hour. So, there are two equations that you use to solve. Here they are:
X+Y=12
X-Y=4
Now, you have to use substitution or elimination to solve (I will use elimination). To use elimination, you simply add both equations together to get:
2X=16
Solve for X by dividing by 2.
X=8. We already established that X is the speed of the bird. Plug X back into either of the equations to find the windspeed.
(8)+Y=12
Subtract 8 from both sides.
Y=4. We already established that Y is the windspeed.
So, the speed of the bird (X) is 8mph and the speed of the wind (Y) is 4mph.
Hope this helped!!
Answer:
9.24
Step-by-step explanation:
Integer Part: 9
Fractional Part: 240
If the last digit in the fractional part of 9.240 is less than 5, then simply remove the last the digit of the fractional part.
So 9.24 rounded to the nearest hundredth is:
9.24
Answer:
-30 is the correct answer
Step-by-step explanation:
As we know,
Slope(m) = y2 - y1 / x2 - x1
After calculating we get the answer -30.
X is 180 - 30 = 150,
The sum of the sides of a polygon is the (number of sides - 2) * (180) so the total interior angle measure of the right polygon is 360.
360 = 80 + 90 + 150 + y
x = 150
y = 40
